How Fast Could a Proto-pulsar Rotate?

Abstract

According to two estimated relations between the initial period and the dynamo-generated magnetic dipole field of pulsars, we calculate the statistical distributions of pulsar initial periods. It is found that proto-pulsars are very likely to have rotation periods between 20ms and 30ms, and that most of the pulsars rotate initially at a period 60ms. Our result supports the asymmetric neutrino emission model for pulsar kick.